On f-Recurrent Kenmotsu Manifolds

The object of this paper is to study f-recurrent Kenmotsu manifolds. Also three-dimensional locally f-recurrent Kenmotsu manifolds have been considered. Among others it is proved that a locally f-recurrent Kenmotsu spacetime is the Robertson-Walker spacetime. Finally we give a concrete example of a three-dimensional Kenmotsu manifold.

On f-Recurrent Kenmotsu Manifolds

The object of this paper is to study f-recurrent Kenmotsu manifolds. Also three-dimensional locally f-recurrent Kenmotsu manifolds have been considered. Among others it is proved that a locally f-recurrent Kenmotsu spacetime is the Robertson-Walker spacetime. Finally we give a concrete example of a three-dimensional Kenmotsu manifold.